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Effect of axial lack-of-fit on the elastic critical load by nonlinear analysis. (English) Zbl 0517.73072

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74B20 Nonlinear elasticity
74H55 Stability of dynamical problems in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74-04 Software, source code, etc. for problems pertaining to mechanics of deformable solids
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References:

[1] Bolton, A.: The critical load of trusses with redundant members. The Structural Engineer 34 (1965) 22-34
[2] Bolton, A.: A convergence technique for determining the elastic critical load of rigidly jointed trusses. The Structural Engineer 37 (1969) 233-242
[3] Millar, M.; Brotton, D.; Merchant, W.: A computer method for the analysis of non-linear elastic plane frameworks. Int. Symp. ?The use of electronic digital computers in structural engineering?. Univ. of Newcastle upon Tyne (1966)
[4] Harung, S. H.: Elastic-plastic failure analysis of three dimensional skeleton frames. Ph. D. Thessis U.M.I.S.T. (1974)
[5] Harung, S. H., Millar, M.; Brotton, D.: Imperfections in axially loaded plane frames. Int. J. Num. Meth. in Eng. 8 (1974) 847-862 · doi:10.1002/nme.1620080412
[6] Galoussis, E. G.; Panagiotopoulos, D. D.: Über durch Imperfeotionen verursachtes Versagen von Fachwerkkonstructionen ? eine stochastische Näherung. Der Stahlbau 50 (1981) 373-377
[7] Ramm, W.; Uhlmann, W.: Zur Anpassung des Stabilitätsnachweises für mehrteilige Druckstäbe an das Europäische Nachweiskonzept. Der Stahlbau 50 (1981) 161-172
[8] Stabilitätsfälle, Knicken von Stäben und Stabwerken, Entwurf. DIN 18800, Teil 2 Berlin: Beuth Verlag 1980.
[9] Argyris; J. H.: Recent advances in matrix methods of structural analysis. London: Pergamon Press 1964 · Zbl 0161.21601
[10] Livesley, R. K.: Matrix analysis in structural systems. London: Pergamon Press 1964 · Zbl 0139.17903
[11] Horne, M. R.; Merchant, W.: The stability of frames. London: Pergamon Press 1965
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